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Simplifying 0.1x + 0.15x = 0.12(x + 20) Combine like terms: 0.1x + 0.15x = 0.25x 0.25x = 0.12(x + 20) Reorder the terms: 0.25x = 0.12(20 + x) 0.25x = (20 * 0.12 + x * 0.12) 0.25x = (2.4 + 0.12x) Solving 0.25x = 2.4 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 0.25x + -0.12x = 2.4 + 0.12x + -0.12x Combine like terms: 0.25x + -0.12x = 0.13x 0.13x = 2.4 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 0.13x = 2.4 + 0.00 0.13x = 2.4 Divide each side by '0.13'. x = 18.46153846 Simplifying x = 18.46153846
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